Finding the Fourth Proportional to 2,014,270,020,420, 3,020,544,960,162.30 and 1,165,912,128,327.80
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Solution
The fourth proportional to 2,014,270,020,420, 3,020,544,960,162.30 and 1,165,912,128,327.80 is: 1,748,370,361,228.09
Step by Step Solution
- Step 1: Write the proportion equation
2,014,270,020,420 : 3,020,544,960,162.30 = 1,165,912,128,327.80 : x - Step 2: Convert to fraction form
2,014,270,020,420/3,020,544,960,162.30 = 1,165,912,128,327.80/x - Step 3: Cross multiply
2,014,270,020,420x = 3,020,544,960,162.30 × 1,165,912,128,327.80 - Step 4: Simplify right side
2,014,270,020,420x = 3,521,690,003,212,637,111,844,864 - Step 5: Solve for x
x = 3,521,690,003,212,637,111,844,864/2,014,270,020,420 - Step 6: Final answer
x = 1,748,370,361,228.09
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.